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Microlocal analysis of a restricted ray transform on symmetric $m$-tensor fields in $\mathbb{R}^n$

Published 2 Aug 2018 in math.AP | (1808.00644v1)

Abstract: We study the microlocal inversion of the ray transform on symmetric $m$-tensor fields restricted to all lines passing through a curve in $\mathbb{R}{n}$. From this incomplete data, we show that the wavefront set of the solenoidal component of a symmetric $m$-tensor field can be recovered modulo a known singular error term.

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